Which term is used to describe a smooth and connected style of playing?

The term that describes a smooth and connected style of playing is "legato." In music notation, legato is typically indicated with a slur over the notes, signaling that each note should be played in a flowing manner without any noticeable breaks in between. This technique creates a seamless sound, allowing melodies to sound more lyrical and expressive.

Understanding legato is crucial for performers aiming to convey emotion and musical phrasing in their playing. Other terms like marcato refer to a strong and accented style, hemiola relates to rhythmic patterns where two against three feels interact, and lento indicates a slow tempo. Each of these terms serves a different purpose in music, but only legato is specifically associated with the smooth and connected articulation that the question is asking about.